EngageNY
Computing Actual Lengths from a Scale Drawing
The original drawing is eight units — how big is the scale drawing? Classmates determine the scale percent between a scale drawing and an object to calculate the length of a portion of the object. They use the percent equation to find...
Curated OER
Graphing Ordered Pairs
Seventh graders investigate the concept of ordered pairs as found in Algebra. They are introduced to the data set that corresponds to the coordinate system. Also students practice the graphing the ordered pairs using the x and y axis.
Curated OER
Homework 7: Hares and Foxes (Based on a problem in Cic)
For this system of equations worksheet, students use systems of equations and Euler's method to calculate the population of hares and foxes. They plot and interpret their results. This one-page worksheet contains three multi-step...
Curated OER
Clarification and Extra Problems for Homework 10: Metric Space
In this metric space worksheet, students define a compact metric space, and explore continuous functions. They prove a function converges uniformly. This one-page worksheet contains six problems.
Curated OER
Extra Problem for Homework 5: Manifold
For this manifold worksheet, students explore the fundamental group in a given manifold that contains two subgroups. They construct an explicit covering map. This one-page worksheet contains one multi-step problem.
Curated OER
It's a Family Affair!
Sixth graders review the relationship between fractions, decimals, and percentages. In this fraction lesson, 6th graders turn fractions into decimals using division and move the decimal for a percentage. They complete a corresponding...
Curated OER
Review of Geometry I
For this review worksheet, students identify the characteristics of intersecting and parallel lines They explore vertical, supplementary, alternate interior, alternate exterior and corresponding angles. This two-page worksheet...
Noyce Foundation
Lawn Mowing
This is how long we mow the lawn together. The assessment requires the class to work with combining ratios and proportional reasoning. Pupils determine the unit rate of mowers and calculate the time required to mow a lawn if they work...
Noyce Foundation
Parallelogram
Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...
Noyce Foundation
Sewing
Sew up your unit on operations with decimals using this assessment task. Young mathematicians use given rules to determine the amount of fabric they need to sew a pair of pants. They must also fill in a partially complete bill for...
EngageNY
Definition of Congruence and Some Basic Properties
Build a definition of congruence from an understanding of rigid transformations. The lesson plan asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons to these...
EngageNY
Solving Area Problems Using Scale Drawings
Calculate the areas of scale drawings until a more efficient method emerges. Pupils find the relationship between the scale factor of a scale drawing and the scale of the areas. They determine the scale of the areas is the square of the...
EngageNY
The Structure of Ratio Tables—Additive and Multiplicative
Build tables by understanding their structure. Scholars take a closer look at the structure of ratio tables in the 10th segment in a 29-part series. Individuals realize that the tables can be built using an additive or multiplicative...
EngageNY
Ordered Pairs
Scholars learn to plot points on the coordinate plane. The lesson introduces the idea that the first coordinate of a coordinate pair represents the horizontal distance and the second coordinate represents the vertical distance.
EngageNY
Locating Ordered Pairs on the Coordinate Plane
Four quadrants, four times the fun. Future mathematicians learn the terminology associated with the coordinate plane and how to plot points in all four quadrants. A worksheet tests their understanding of the material in the 16th...
EngageNY
Symmetry in the Coordinate Plane
The 17th installment of a 21-part module investigates symmetry in the coordinate plane. After plotting several examples, scholars develop a rule for the coordinates of a point after reflecting over the x-axis, the y-axis, or both.
Curated OER
Tally Charts and Graphs
Fourth graders play the game 'Data Picking', where they collect data, place the data into a tally chart, and choose the circle graph that best represents the data. They go to the Mathfrog website and select 'Picking'. Students choose...
Curated OER
Nine Exercises Matching Lines To Their Equations
In this math worksheet, learners match the line of the graph with the corresponding equation. The goal is to practice finding the slope for each.
Curated OER
Rational Functions
In this college level Pre-Calculus worksheet students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts. The three page worksheet contains forty problems. Answers are provided.
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to quadratic...
Inside Mathematics
House Prices
Mortgages, payments, and wages correlate with each other. The short assessment presents scatter plots for young mathematicians to interpret. Class members interpret the scatter plots of price versus payment and wage versus payment for...
EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
EngageNY
The Slope of a Non-Vertical Line
This activity introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...
EngageNY
Calculating Probabilities of Compound Events
Use tree diagrams with multiple branches to calculate the probabilities of compound events. Pupils use tree diagrams to find the sample space for probability problems and use them to determine the probability of compound events in the...